A Fast Method for Reconstruction of Total-Variation MR Images With a Periodic Boundary Condition

Author

Yonggui Zhu ; Yuying Shi

Author_Institution

Sch. of Sci., Commun. Univ. of China, Beijing, China

Volume

20

Issue

4

fYear

2013

fDate

Apr-13

Firstpage

291

Lastpage

294

Abstract

We use a small positive parameter to change the total-variation function for unconstrained MR image reconstruction to a strictly convex perturbed function. Bregman iteration is applied to solve the modified total-variation MR image (TVMRI) reconstruction problem. A lagged diffusivity fixed-point algorithm is applied to solve the minimization problem in the Bregman iteration. We use the periodic boundary condition and a Fourier transform to accelerate TVMRI reconstruction. Real MR images are used to test the approach in numerical experiments. The experimental results demonstrate that the proposed method is very efficient for TVMRI reconstruction.

Keywords

Fourier transforms; biodiffusion; biomedical MRI; image reconstruction; iterative methods; medical image processing; minimisation; perturbation theory; Bregman iteration; Fourier transform; MRI; convex perturbed function; diffusivity fixed-point algorithm; minimization problem; numerical experiments; periodic boundary condition; total-variation magnetic resonance image reconstruction; Boundary conditions; Fourier transforms; Image reconstruction; Iterative methods; Magnetic resonance imaging; Signal to noise ratio; TV; Bregman iterative regularization; compressed sensing; fixed-point iteration; total variation;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2013.2245502

Filename

6451127